SAP2000 TUTORIAL ARCHES
SAP2000 TUTORIAL t ARCHES The first step in the process of modeling an arch is to determine the Radius (R) and the angle theta (θ) using the following equations: L2 + 4h2 R = 8h L / 2 θ = sin -1 R L θR h The arch that will be modeled in the tutorial is shown below: it has a height (h) of 8 ft., sits on columns that are twelve feet high and the distance between them (L) is 40 ft. Calculating the radius (R) gives a value of 29 ft. and the angle theta (θ) is 43.6°. t Putting the Arch into SAP Modeling an arch in SAP uses a Barrel Vault Shell Template for creating the points to draw an arch and then erases the shell elements. 1. Open SAP and Assign the units J kip-ft 2. Go to File J New Model From Template to get the following screen: 3. Select the Barrel Vault icon to bring up the following screen: Enter a value of at least 12 for the Number of Circumferential Spaces Enter a value of 1 for the Number of Span Spaces Enter a value of 32 for the Span Enter a value of 29 as calculated for the Radius Enter a value of 43.6 as calculated for the Roll Down Angle Click OK and the following screen will appear. 4. Make the Y-Z Plane screen active and turn off the gridlines by pressing F7 or go to View J Show Axes. Using the Draw Frame Element tool, connect the dots to make the arch. 5. Make the 3-D View window active, select the shell elements and press Delete on the keyboard or go to Edit J Delete. Continue deleting until all of the shell elements are gone – use the Pencil icon to refresh the page as needed. 6. The following screen results at the end of this process. However, the arch is drawn in the Y-Z Plane and it needs to be rotated to the X-Z Plane. 7. To rotate the arch, select all of the joints and frames and go to Edit J Replicate (or Ctrl + R) to get the dialog box. Choose the Radial tab, select Z-Axis, enter an Angle of 90, and Number of 1. Click OK. The screen will appear as below. Make the Y-Z Plane active, select all the joints and members of the arch in that plane (drag a selection window as shown above) and then press Delete on the keyboard or go to Edit J Delete. Use the Pencil tool to refresh the screen in both windows. The 3-D View screen will appear like this: However, the arch won’t be visible in the X-Z Plane because it does not coincide with any gridlines. Right mouse click on the end joint to bring up the following screen. This shows that the joint is at X = 19.999 and Y = 16 (the opposite end of the arch will be at X = -19.999). 8. Go to Draw J Edit Grid to get the following dialog box: In the X-Direction, Add Grid Line at 19.999 and –19.999. In the Y-Direction, Add Grid Line at 16. 9. Change the screen view to the X-Z Plane and scroll using the arrows to X-Z Plane at Y=16 to get the following screen. 10. Add a gridline at Z= -12, Draw the columns, and Assign the Joint Restraints (pin supports). 11. Define J Static Load Cases as before - change the Self Weight Multiplier to 0 and click Change Load and then OK. 12. Assign loads by choosing all the frame members of the arch and go to Assign J Frame Static Loads J Point and Uniform or use the Shortcut Button. Apply a Uniform Load of –1 klf on the Global Z Projection. 13. Set Analysis Options: go to Analyze J Set Options and choose Plane Frame – XZ Plane. 14. Analyze the model: go to Analyze J Run 15. Display diagrams as needed. . SAP2000 TUTORIAL t ARCHES The first step in the process of modeling an arch is to. R L θR h The arch that will be modeled in the tutorial is shown below: it has a height (h) of 8 ft., sits on columns that